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Finding the Fourth Proportional to 398,825.64, 550,354.50 and 219,981.48

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Solution

The fourth proportional to 398,825.64, 550,354.50 and 219,981.48 is: 303,560.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,825.64 : 550,354.50 = 219,981.48 : x
  2. Step 2: Convert to fraction form
    398,825.64/550,354.50 = 219,981.48/x
  3. Step 3: Cross multiply
    398,825.64x = 550,354.50 × 219,981.48
  4. Step 4: Simplify right side
    398,825.64x = 121,067,797,434.66
  5. Step 5: Solve for x
    x = 121,067,797,434.66/398,825.64
  6. Step 6: Final answer
    x = 303,560.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.